2 Shared Databases on the same network with 1 administrator

Hi here is the senario: I work for a company with 2 distinct departments,
which both want to use BCM 2007. Currently department 1 is using a shared
database. Can department 2 get their own database on the same server by
simply having someone create the database and share to the appropriate
people? Or do we need to have a second administrator or anything weird like
that to achieve this? If it is the first option can it be anyone who creates
the database to share?

Thanks,